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What is a good introduction to integrable models in physics?

+ 8 like - 0 dislike
199 views

I would be interested in a good mathematician-friendly introduction to (exactly solvable)  integrable models in physics, either a book or expository article.

Related MathOverflow question: what-is-an-integrable-system.

This post imported from StackExchange Physics at 2014-04-25 13:36 (UCT), posted by SE-user Phira

asked Sep 22, 2011 in Resources and References by Phira (0 points) [ revision history ]
edited May 4, 2014 by dimension10
Do you have anything specific in mind? I think the term integrability is sometimes used in slightly different contexts.

This post imported from StackExchange Physics at 2014-04-25 13:36 (UCT), posted by SE-user Pieter Naaijkens
The fact that "integrability" can mean so many things sometimes makes the quest to learn about it so challenging! I have found the introductory sections of Etingoff's paper www-math.mit.edu/~etingof/zlecnew.pdf to be a very good mathematical reference for a particular, physically interesting system (Calogero-Moser) which describes particles interacting in one-dimension.

This post imported from StackExchange Physics at 2014-04-25 13:36 (UCT), posted by SE-user Eric Zaslow

3 Answers

+ 8 like - 0 dislike

I take "integrable models" to mean "exactly solvable models in statistical physics".

You can take a look at the classic book

Otherwise this new book is quit readable and covers more than just solvable models

Others can probably give you more mathematician-friendly references, but I think it would be good if you could be more specific about what you are looking for.

This post imported from StackExchange Physics at 2014-04-25 13:36 (UCT), posted by SE-user Heidar
answered Sep 22, 2011 by Heidar (855 points) [ no revision ]
Yes, "exactly solvable" is what I mean. Thanks, I will update my question later.

This post imported from StackExchange Physics at 2014-04-25 13:36 (UCT), posted by SE-user Phira
+ 6 like - 0 dislike
answered May 6, 2012 by Vijay Murthy (90 points) [ no revision ]
+ 0 like - 0 dislike

Another good recent book:

This post imported from StackExchange Physics at 2014-04-25 13:36 (UCT), posted by SE-user just-learning
answered Nov 16, 2013 by just-learning (95 points) [ no revision ]

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